Order notation

cosmos 9th August 2019 at 9:19am
Asymptotic analysis

aka asymptotic notation

See notes for defs, Asymptotic approximation

see here
  • Big theta
  • Big Omega
  • Big O: f=O(g)f=O(g) as ϵ0\epsilon \rightarrow 0 - f could be asymptotic to const*g, or much smaller
  • Small o: f=o(g)f=o(g) - f is strictly much less than g
  • Strict order: f=ord(g)f=\text{ord}(g) - f is strictly of order g, i.e. asymptotic to some constant times g.

Also: Big theta notation, and Big omega notation.